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1312243400 = 2352131393631
BaseRepresentation
bin100111000110111…
…0011111011001000
310101110012212112102
41032031303323020
510141413242100
6334113532532
744342612336
oct11615637310
93343185472
101312243400
116137aa986
12307574148
1317bb339b0
14c63cab56
157a30ccd5
hex4e373ec8

1312243400 has 96 divisors (see below), whose sum is σ = 3310204800. Its totient is φ = 480902400.

The previous prime is 1312243351. The next prime is 1312243411. The reversal of 1312243400 is 43422131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359585 + ... + 363215.

It is an arithmetic number, because the mean of its divisors is an integer number (34481300).

Almost surely, 21312243400 is an apocalyptic number.

1312243400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655102400).

1312243400 is an abundant number, since it is smaller than the sum of its proper divisors (1997961400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312243400 is a wasteful number, since it uses less digits than its factorization.

1312243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1312243400 is about 36224.9002759152. The cubic root of 1312243400 is about 1094.8084289177.

Adding to 1312243400 its reverse (43422131), we get a palindrome (1355665531).

The spelling of 1312243400 in words is "one billion, three hundred twelve million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 139 200 260 278 325 520 556 650 695 1112 1300 1390 1807 2600 2780 3475 3614 3631 5560 6950 7228 7262 9035 13900 14456 14524 18070 18155 27800 29048 36140 36310 45175 47203 72280 72620 90350 90775 94406 145240 180700 181550 188812 236015 361400 363100 377624 472030 504709 726200 944060 1009418 1180075 1888120 2018836 2360150 2523545 4037672 4720300 5047090 6561217 9440600 10094180 12617725 13122434 20188360 25235450 26244868 32806085 50470900 52489736 65612170 100941800 131224340 164030425 262448680 328060850 656121700 1312243400